# Free Basic Metric Conversion Chart For Kid Download

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MOST COMMON METRIC UNITS USED IN THE MEDICAL FIELD

Micro ( | microgram | 10‐6 | One millionth | 0.000001 | 1 1,000,000 of the base unit |

Milli ( | milligram milliliter* millimeter | 10‐3 | One thousandth | 0.001 | 1 1,000 of the base unit |

Centi ( | centimeter | 10‐2 | One hundredth | 0.01 | 1 100 of the base unit |

Deci ( | deciliter | 10‐1 | One tenth | 0.1 | 1 10 of the base unit |

BASE | gram (g) liter (L) meter (m) | 100 | One | 1 | 1 times the base unit |

Kilo ( | kilogram | 103 | Thousand | 1,000 | 1,000 times the base unit |

*1cc = 1 mL

## Kilo

## hecto

## deca

THE METRIC STAIRCASE

## *BASE

## deci

## centi

## milli

## King Henry Died (from a) Disease Called Mumps.

(k) (h) (da) gram (g) (d) (c) (m) liter (L)

meter (m)

To convert from one unit of measurement to the other, move the decimal to the right or left and add the appropriate zeros.

## Example: 1 dg = ? kg

To go from deci to kilo you move the decimal 4 places to the left

0 . 0 0 0 1

Therefore, 1 dg = 0.0001 kg

## Example: 10 hL = ? mL

To go from hecto to milli you move the decimal 5 places to the right

1 0 0 0 0 0 0 .

Therefore, 10 hL = 1,000,000 mL

Try: Convert each of the following:

1. 2,000 mg = g 5. 5 L = mL

2. 16 hL = dL 6. 104 km = mm

3. 198 kg = g 7. 2500 cL = hL

4. 56 dam = cm 8. 75 cg = kg

Compare each measurement with <, >, or =.

9. 63 cm 6 m 11. 5 g 508 mg

10. 1,500 mL 1.5 L 12. 536 cm 53.6 dm

THE APOTHECARY SYSTEM OF WEIGHTS AND MEASUREMENTS

Unit | Weight | Metric Weight | Household System |

grain (gr)* | 60 mg | 1 drop (gtt) | |

15 grain | 1 g or 1,000 mg | ||

dram (Ʒ) | 60 grains | 4g | 1 teaspoon (t) = 5 cc = 60 gtt |

4 drams | 1 tablespoon (T) = 3 t | ||

ounce (�) | 8 drams | 30 g | 2 tablespoons |

12 ounces | 360 g | ||

2.2 pounds | 1 kg |

*Use this unit if working with ≤ 1 grain

RATIOS AND PROPORTIONS

A ratio is a comparison of two numbers. The first number represents the quantity chosen and the second number represents the total quantity. A ratio can be expressed in the forms:

numerator to denominator

numerator : denominator

numerator

denominator

Notice that the last expression is a fraction!

## Example: There are 149 nurses, 69 doctors, and 230 patients in a hospital. Find the ratios:

149

Nurses to doctors: 149 to 69 149 : 69

Doctors to patients: which reduces to: | 69 to 230 3 to 10 | 69 : 230 3 : 10 |

Patients to nurses: | 230 to 149 | 230 : 149 |

Patients to doctors and nurses: | 230 to 218 | 230 : 218 |

which reduces to: 115 to 109 115 : 109

69

69

230

3

10

230

149

230

218

115

109

Notice that the first number corresponds to the first word. On the first example, the ratio was nurses to doctors. If the question had been doctors to nurses, the numbers would have been reversed, giving the ratios:

69

Doctors to nurses: 69 to 149 69 : 149

149

On the last example, since it is asking patients to doctors AND nurses, you must add the number of doctors to the number of nurses to get the denominator.

Try: Find the ratios given the information (do not forget to reduce, if possible):

39 syringes, 93 band aids, 26 aspirin, and 71 cotton swabs

Syringes to cotton swabs:

Band Aids to syringes:

Syringes to aspirin and band aids:

Cotton Swabs to all the items:

Band aid and syringes to cotton swabs and aspirin:

EQUIVALENTS USING RATIOS AND PROPORTIONS

When you are working with one unit of measurement and you want to find its equivalent to another unit of measurement, you can set up proportions. A proportion is just two ratios that are equal to each other. Be sure that the same units of measurement are in the numerator and the same units of measurement are in the denominator.

## Example: 45 gr = ? mg

Determine if you can set up a ratio using gr and mg. According to the apothecary system, 15 gr = 1,000 mg.

45gr 15gr

Set up your ratios: = (Notice the numerators have grain as the units!)

? 1000mg

Solving for proportions: use cross multiplication

45gr

?

15gr 1000mg

(45 gr)(1000 mg) = (15 gr)(?)

(45)(1000 mg) = (15)(?) Divide by gr on both sides (they cancel out) (45000 mg) = 15? Multiply

3000 mg = ? Divide both sides by 15

200

## Example: 1

gr = ? mg

Determine if you can set up a ratio using gr and mg. According to the apothecary system, 1 gr = 60 mg.

Set up your ratios and cross multiply:

1gr 200

?

1

= 1gr

60mg

Notice that the numerator on the first ratio is 200 grain and the denominator is ?.

1

(200 gr)(60mg) = (1 gr)(?)

1

(200)(60mg) = (1)(?) Divide by gr on both sides

60

200 mg = ? Multiply

.3 mg = ? Divide 200 by 60

Try: Find each equivalent: (Round to the nearest hundredth, if needed.)

5 drops = mg 22. 2 drams = t

6 ounces = T 23. 46 lbs = kg

3

16 grams = ounces 24. 45 drams = T

4 grain = mg 25.

15

16 kg = lbs

Sometimes you may not know a conversion, so you may have to set up more than one set of ratios.

## Example: How many seconds are in a day? You want your answer in seconds per day so you have to work from the seconds units to the day units. We know there are 60 seconds/minute, 60 minutes/hour, and 24 hours/day. (We are using the “/” symbol to indicate “per”.) Writing these as ratios, we have:

60sec 1min

60min 1hr

24hr 1day

Because you want seconds/day, the seconds will be in the numerator and you will end with day in the denominator. You will notice that the minute units and hour units will cancel out.

60sec 1min

60min 1hr

24hr 1day

Multiplying the ratios, you will get:

60sec 1min

60min

X 1hr X

24hr 1day

= 86,400 sec/day

Try:

26. How many ounces are in a gallon of milk?

Helpful hints:

1 cup = 8 ounces

4 quarts = 1 gallon

1 pint = 16 ounces

1 quart = 2 pints

SOLVING DRUG CALCULATIONS USING THE FORMULA METHOD

Quantity Available 1

Desired Dose Available Dose

To determine the amount of medication to be administered to a patient, you must use the formula method.

X (conversion ratio(s)) X = Volume to Administer NOTE: The conversion ratio(s) are not always needed.

## Example: Order: 140 mg

Supply: 100 mg/mL (100 mg “per” 1 mL)

140 mg

100 mg X

1 ml

1

= 1.4 mL

No conversation ratios were necessary since both the order and supply were in the same units (mg).

## Example: Order: 0.75 g

Available: 250 mg/mL

. 75 g

250 mg

1000 mg

X 1 g X

1 ml 1

= 3 mL

This required a conversion ratio since the order was given in grams and the available unit was in milligrams. You could eliminate this step by using the “Metric Staircase” and converting .75 g to 750 mg by moving the decimal 3 places to the right. Then the formula would look like:

750 mg

250 mg X

1 ml

1

= 3 mL

## Example: Order: 10 mg

Available: 5 mg/5mL

10 mg

5 mg

5 ml

X 1

= 10

mL

Try: Determine the amount of each medication to be administered. (Keep in fraction form, if needed.)

27. | Order: 500 mg Available: 250 mg/5 mL | mL |

28. | Order: 0.35 g Available: 125 mg/5 mL | mL |

29. | Order: 0.25 g Available: 0.75 g/1.5 cc | cc |

30. | Order: .375 g Available: 500 mg/cc | cc |

Order:

1

300 grains

1

Available: 150 grains/tablet tablet(s)

Order:

1

75 grains

1

Available: 300 grains/ 15 drops

How many drams? drams

Order: 500 mg

Available: 1 g/1 t t

34. | Order: 17 mg Available: 102 mg/2 T How many teaspoons? | t |

35. | Order: 1000 mg | |

Available: 0.25 g/2 t How many tablespoons? | T | |

36. | Order: 0.5 g | |

Available: 250 mg/5 cc How many teaspoons? | t | |

37. | Order: 3 mg |

1

Available: 5 grain/T

How many drams? drams

## Example: Sometimes dosages are determined by the body weight of the patient. To convert from pounds to kilograms, you need to divide by 2.2, then multiply by the dosage:

Body Weight (lb) 2.2 = Body Weight (kg) Body Weight (kg) X ordered dosage = Dosage to give

*When given the kg, multiply by 2.2.

A person’s weight is 154 lb. The ordered dosage is 5 mg/kg of body weight.

154 lb

2.2 kg

X 5 mg = 350 mg (It’s a ratio!)

Try: Determine the body weight and the dose for each person: (Round to the nearest tenth, if needed.)

Susan: 121 lb = kg

Dosage ordered: 3.5 mg/kg of body weight =

Frank: 180.4 lb = kg

Dosage ordered: 2.2 mg/kg of body weight =

Sam: 65 kg = lb

Dosage ordered: 0.5 mg/kg of body weight =

ANSWERS TO METRIC AND RATIOS/PROPORTIONS WORKSHEETS

1. 2 g 21. 45 mg

2. 16,000 dL 22. 1.5t or 2 t

3. 198,000 g 23. 20.91 kg

4. 56,000 cm 24. 11.25 T

5. 5,000 mL 25. 2.06 lb

6. 104,000,000 mm 26. 128 oz

7. .25 hL 27. 10 mL

8. .00075 kg 28. 14 mL

9. < 29.

1

2 cc

10. = 30.

3

4 cc

11. > 31.

1

2 tablet(s)

12. = 32. 1 dram

39 1

13. 39 to 71, 39:71, 71 33. 2 t

93

14. 93 to 39, 93:39, 39 34. 1 t

31 2

reduced: 31 to 13, 31:13, 13 35. 23 T

39

15. 39 to 119, 39:119, 119 36. 2 t

71

16. 71 to 229, 71:229, 229 37. 1 dram

132

17. 132 to 97, 132:97, 97 38. 55 kg, 192.5 (dose)

18. 300 mg 39. 82 kg, 180.4 (dose)

19. 12 T 40. 143 lb, 32.5 (dose)

20. .53 oz

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